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Resistivity anomaly, a sharp peak of resistivity at finite temperatures, inthe transition-metal pentatellurides ZrTe5 and HfTe5 was observed four decadesago, and more exotic and anomalous behaviors of electric and thermoelectrictransport were revealed recent years. Here we present a theory of Diracpolarons, composed by massive Dirac electrons and holes in an encircling cloudof lattice displacements or phonons at finite temperatures. The chemicalpotential of Dirac polarons sweeps the band gap of the topological bandstructure by increasing the temperature, leading to the resistivity anomaly.Formation of a nearly neutral state of Dirac polarons accounts for theanomalous behaviors of the electric and thermoelectric resistivity.

Dirac Polarons and Resistivity Anomaly in ZrTe5 and HfTe5